different between arity vs monadic

English

Etymology

From -ary (taken from unary/binary/ternary [function/operator]) + -ity. Compare adicity and adinity.

Pronunciation

• IPA^(key): /?æ??ti/, /?e???ti/
• Rhymes: -æ??ti

Noun

arity (plural arities)

1. (logic, mathematics, computer science) The number of arguments or operands a function or operation takes. For a relation, the number of domains in the corresponding Cartesian product.
2. (mathematics, computer science) The maximum number of child nodes that any node in a given tree (data structure) may have.
3. (Lojban grammar) the number of arguments (in Lojban grammar called sumti) specified in the definition of a selbri. (the selbri combined with the sumti make up a bridi).

Synonyms

• (number of arguments) adinity, adicity, type, rank

Translations

See also

• Appendix:English arities and adicities

Anagrams

• -iatry, yatri

English

Etymology

From Ancient Greek ????????? (monadikós, “single”), from ????? (monás, “a unit”); see monad.

Adjective

monadic (comparative more monadic, superlative most monadic)

1. (philosophy) of or relating to a monad
2. (chemistry) univalent
3. (biology) of or relating to the Monas genus of microorganisms
4. (mathematics) having an arity of one (taking a single argument or operand)

Derived terms

• monadic predicate logic

Related terms

• monad

Translations

See also

• dyadic
• triadic
• polyadic
• variadic

Further reading

• monadic in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.
• monadic in The Century Dictionary, New York, N.Y.: The Century Co., 1911.

Anagrams

• coadmin, mandioc, monacid, nomadic